Answer:
The correct option is B.
Step-by-step explanation:
From the given graph it is clear the x-coordinate of the vector is 3 and y-coordinate of the vector is 4 in the coordinate plane.
The given vector can be defined as
[tex]A=\begin{bmatrix}3 & 4\end{bmatrix}[/tex]
Translation vector is
[tex]B=\begin{bmatrix}0 & -1\\ 1 & 0\end{bmatrix}[/tex]
We need to find the resulting vector,
[tex]AB=\begin{bmatrix}3 & 4\end{bmatrix}\cdot \begin{bmatrix}0 & -1\\ 1 & 0\end{bmatrix}[/tex]
[tex]AB=\begin{bmatrix}3(0)+4(1) & 3(-1)+4(0)\end{bmatrix}[/tex]
[tex]AB=\begin{bmatrix}4& -3\end{bmatrix}[/tex]
Therefore the correct option is B.
